In Company X, the personnel department gives two aptitude tests to applicants. One measures verbal ability while the other measures quantitative ability. From many years of experience, the company has found that a person's verbal score Y1 is normally distributed with mean of 50 and standard deviation (stdev) of 10. The quantitative scores Y2 are also normally distributed with mean of 100 and stdev 20. Y1 and Y2 appear to be independent.A composite score, Y, is assigned to each applicant where: Y= 3Y1 + 2Y2.Applicants whose composite scores are below 375 are automatically rejected. What is the probability that a random applicant gets automatically rejected?If six applicants submit resumes, what are the chances that fewer than half will fail the screening test?

Answered: What is the probability that a random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In Company X, the personnel department gives two aptitude tests to applicants. One measures verbal ability while the other measures quantitative ability. From many years of experience, the company has found that a person's verbal score Y₁ is normally distributed with mean of 50 and standard deviation (stdev) of 10. The quantitative scores Y₂ are also normally distributed with mean of 100 and stdev 20. Y₁ and Y₂ appear to be independent.

A composite score, Y, is assigned to each applicant where: Y= 3Y₁ + 2Y₂.
Applicants whose composite scores are below 375 are automatically rejected.

What is the probability that a random applicant gets automatically rejected?
If six applicants submit resumes, what are the chances that fewer than half will fail the screening test?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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